Question

State the y-coordinate of the y-intercept for the function below.


`f(x)=x^(3) -x^2-x+1`

Answer 1

1

Explanation:

y-intercept is defined as the point where the graph crosses the y-axis. The value of x coordinate at this point is zero, as along entire y-axis, the value of x coordinate is always zero. So substituting x = 0 in the function will give us the y-coordinate of the y-intercept of the given function.

`f(x)=x^(3)-x^(2) -x+1`

Substituting x = 0 in this function, we get:

`f(0)=0^(3)-0^(2)-0+1=1`

Thus, the y-coordinate of the y-intercept is 1. Therefore the y-intercept of the function in ordered pair will be: (0, 1)